54265600 has 108 divisors (see below), whose sum is σ = 137499880. Its totient is φ = 21196800.

The previous prime is 54265597. The next prime is 54265619. The reversal of 54265600 is 656245.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390331 + ... + 390469.

Almost surely, 2^54265600 is an apocalyptic number.

54265600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68749940).

54265600 is an abundant number, since it is smaller than the sum of its proper divisors (83234280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54265600 is a wasteful number, since it uses less digits than its factorization.

54265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 54265600 is about 7366.5188522124. The cubic root of 54265600 is about 378.5949962442.

It can be divided in two parts, 5426 and 5600, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 54265600 in words is "fifty-four million, two hundred sixty-five thousand, six hundred".